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Finding the Fourth Proportional to 147.56, 219.52 and 138.92

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Solution

The fourth proportional to 147.56, 219.52 and 138.92 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.56 : 219.52 = 138.92 : x
  2. Step 2: Convert to fraction form
    147.56/219.52 = 138.92/x
  3. Step 3: Cross multiply
    147.56x = 219.52 × 138.92
  4. Step 4: Simplify right side
    147.56x = 30,495.72
  5. Step 5: Solve for x
    x = 30,495.72/147.56
  6. Step 6: Final answer
    x = 206.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.